diff options
Diffstat (limited to 'plugins/setoid_ring/ArithRing.v')
-rw-r--r-- | plugins/setoid_ring/ArithRing.v | 12 |
1 files changed, 6 insertions, 6 deletions
diff --git a/plugins/setoid_ring/ArithRing.v b/plugins/setoid_ring/ArithRing.v index 6998b656..ed35bb46 100644 --- a/plugins/setoid_ring/ArithRing.v +++ b/plugins/setoid_ring/ArithRing.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2012 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -21,17 +21,17 @@ Lemma natSRth : semi_ring_theory O (S O) plus mult (@eq nat). Lemma nat_morph_N : semi_morph 0 1 plus mult (eq (A:=nat)) - 0%N 1%N Nplus Nmult Neq_bool nat_of_N. + 0%N 1%N N.add N.mul N.eqb N.to_nat. Proof. constructor;trivial. - exact nat_of_Nplus. - exact nat_of_Nmult. - intros x y H;rewrite (Neq_bool_ok _ _ H);trivial. + exact N2Nat.inj_add. + exact N2Nat.inj_mul. + intros x y H. apply N.eqb_eq in H. now subst. Qed. Ltac natcst t := match isnatcst t with - true => constr:(N_of_nat t) + true => constr:(N.of_nat t) | _ => constr:InitialRing.NotConstant end. |